Parallelogram ABCD is dilated to form parallelogram EFGH. Which corresponding angle is congruent to angle A? Type your answer in the box below as a single letter to represent the angle. For example, if the answer is angle X, simply type X in the blank.

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parmesanchilliwack parmesanchilliwack · Answer 1 · 2019-01-07T11:14:22+01:00

Answer: E

Step-by-step explanation:

In Parallelogram ABCD and EFGH ,

∠A, ∠B, ∠C and ∠D are corresponding to ∠E, ∠F, ∠G and ∠H respectively.

Since, According to the given question,

parallelogram ABCD is dilated to form parallelogram EFGH,

Therefore, By the property of dilation,

Parallelogram ABCD is similar to parallelogram EFGH,

⇒ ∠A, ∠B, ∠C and ∠D are congruent to ∠E, ∠F, ∠G and ∠H respectively.

Thus Angle A is congruent To angle E.

DelcieRiveria DelcieRiveria · Answer 2 · 2019-04-25T07:42:31+02:00

Answer:

Angle E is congruent to angle A, So the required answer is E.

Step-by-step explanation:

If a figure dilated, then the image and pre-image are similar figures.

It is given that angle parallelogram ABCD is dilated to form parallelogram EFGH.

It means both parallelogram are similar.

[tex]ABCD\sim EFGH[/tex]

The corresponding angles of similar figure are same.

[tex]\angle A=\angle E[/tex]

[tex]\angle B=\angle F[/tex]

[tex]\angle C=\angle G[/tex]

[tex]\angle D=\angle H[/tex]

Therefore angle E is congruent to angle A. The required answer is E.